| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Divisibility by 2 of partial Stirling numbers | Donald M. Davis
; | Date: |
22 Sep 2011 | Abstract: | The partial Stirling numbers T_n(k) used here are defined as the sum over odd
values of i of (n choose i) i^k. Their 2-exponents nu(T_n(k)) are important in
algebraic topology. We provide many specific results, applying to all values of
n, stating that, for all k in a certain congruence class mod 2^t, nu(T_n(k)) =
nu(k - k0) + c0, where k0 is a 2-adic integer and c0 a positive integer. Our
analysis involves several new general results for nu(sum (n choose 2i+1) i^j),
the proofs of which involve a new family of polynomials. Following Clarke, we
interpret T_n as a function on the 2-adic integers, and the 2-adic integers k0
described above as the zeros of these functions. | Source: | arXiv, 1109.4879 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |